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scoundrel [369]
3 years ago
13

3a+4b=5a-t solve for a

Mathematics
2 answers:
forsale [732]3 years ago
8 0
Solution for 3A-4B+5A= equation:

Simplifying
3A + -4B + 5A = 0

Reorder the terms:
3A + 5A + -4B = 0

Combine like terms: 3A + 5A = 8A
8A + -4B = 0

Solving
8A + -4B = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '4B' to each side of the equation.
8A + -4B + 4B = 0 + 4B

Combine like terms: -4B + 4B = 0
8A + 0 = 0 + 4B
8A = 0 + 4B
Remove the zero:
8A = 4B

Divide each side by '8'.
A = 0.5B

Simplifying
A = 0.5B
7nadin3 [17]3 years ago
5 0

Answer:

2b+t/2=a

Step-by-step explanation:

3a + 4b = 5a-t

-3a           -3a

4b = 2a - t

+t         +t

4b + t = 2a

/2           /2

2b+t/2=a

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ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim
nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be  a*10^b and another be  c*10^d, when we divide, we will follow the rule shown below:

\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})

Now, we use the information given to find the ratio:

\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

0.1833*10^4=1833

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

7 0
3 years ago
Read 2 more answers
Which pair of terms are like terms?
sdas [7]

Answer:

b: -2y and 4y

Step-by-step explanation:

The answer is option B

-2y and 4y are like terms because they have the same algebraic alphabet at the back of their coefficients.

6 0
3 years ago
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for
Hitman42 [59]

Answer:

17/20

Step-by-step explanation:

1/4 +3/5 simplify into:

5/20 + 12/20= 17/20

5 0
2 years ago
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alexgriva [62]

Answer:

y = 4x

Step-by-step explanation:

When two lines are parallel, their slopes are equal. The slope in this equation is 4. Therefore, any line with slope 4 will suffice.

3 0
3 years ago
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